No salvation apart from saving faith alone, in Christ alone.
Implicit in the notion of requirement to eat the body and blood of Jesus is a works based system, where you must perform certain rituals (works) to get or keep what ONLY GOD can convey, The Grace of God In Christ. As you wrote, only available through faith ALONE in Christ ALONE, no rituals can add to the righteousness God imputes to the Believer when born again, born from above.